#1926 ⟨a, b | aaabbbaa=bb⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Other submonoids of same group

Properties

Rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
#RuleProof
1. a3b5 ⇒ b2ab3a2 [2]
2. a3b3a2 ⇒ b2 [1]
3. a3b3ab2 ⇒ b2a2b3a2 [3]
# ab:aaabbbaa=bb ba
aaabbbbb=bbabbbaa
aaabbbaa=bb
aaabbbabb=bbaabbbaa

Other submonoids of same group

1 unique, 1 total

Σ#PresentationDescriptionRelated
102190⟨a, b | aaabbaa=bbb⟩Infinite cancellative non-commutative monoid